On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives

Yang Li

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

Abstract:

We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their r th derivatives. We get the formulas for the r th derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:451953

DOI: 10.1155/2014/451953

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